{"id":4312,"date":"2022-01-30T08:29:34","date_gmt":"2022-01-30T08:29:34","guid":{"rendered":"https:\/\/oryxlearning.com\/company\/?page_id=4312"},"modified":"2022-03-01T18:39:40","modified_gmt":"2022-03-01T18:39:40","slug":"how-to-find-probability-of-a-compound-event","status":"publish","type":"page","link":"https:\/\/oryxlearning.com\/learn\/how-to-find-probability-of-a-compound-event\/","title":{"rendered":"How to Find Probability of a Compound Event"},"content":{"rendered":"[vc_section full_width=&#8221;stretch_row&#8221; content_placement=&#8221;middle&#8221; css=&#8221;.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}&#8221; el_id=&#8221;bg-sec&#8221;][vc_row full_width=&#8221;stretch_row_content&#8221; el_class=&#8221;faaaq&#8221;][vc_column width=&#8221;1\/12&#8243;][\/vc_column][vc_column width=&#8221;1\/2&#8243; css=&#8221;.vc_custom_1633761494145{border-radius: 1px !important;}&#8221;][vc_row_inner content_placement=&#8221;middle&#8221; el_class=&#8221;topheadingg&#8221;][vc_column_inner width=&#8221;1\/6&#8243;][vc_single_image image=&#8221;2283&#8243; img_size=&#8221;full&#8221;][\/vc_column_inner][vc_column_inner width=&#8221;5\/6&#8243;][vc_column_text]\n<h5>How to Find Probability of a Compound Event<\/h5>\n[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=&#8221;headingnew&#8221;]Concept[\/vc_column_text][vc_column_text]The probability of an event is the measure of the possibility of the occurrence of that event. Compound probability is applicable when there are more than one independent events happening. Suppose, you need to roll a die, and toss a coin; this is an example of a compound event.[\/vc_column_text][vc_column_text el_class=&#8221;headingnew&#8221;]Rules[\/vc_column_text][vc_column_text]<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/independent-and-dependent-events\"><strong>To find the probability of two dependent events:<\/strong><\/a><br \/>\n1. Find the probability of each event. Remember to subtract 1 from the total number of events for the second event.<br \/>\n2. Multiply the probability of the events<\/p>\n<p><a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/independent-and-dependent-events\"><strong>To find the probability of independent events:<\/strong><\/a><br \/>\n1. Find the probability of each event<br \/>\n2. Find the product of the individual probabilities.[\/vc_column_text][vc_column_text el_class=&#8221;headingnew&#8221;]Example[\/vc_column_text][vc_column_text]<strong><span style=\"color: #16a085;\">If a boy picks a cube from each container, what is the probability of picking a red from the first container and a yellow from the second container?<\/span><\/strong><\/p>\n<p><a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/probability-of-compound-event\"><img loading=\"lazy\" class=\"alignnone \" src=\"https:\/\/cdn.oryxlearning.com\/media_assets\/1638336022090.svg\" width=\"318\" height=\"176\" \/><\/a><br \/>\n[\/vc_column_text][vc_column_text el_class=&#8221;headingnew&#8221;]Solution[\/vc_column_text][vc_column_text]1. Find the probability of the first event.<br \/>\nThere is 1 red cube and a total of 6 cubes in the first container. The probability of getting a red cube is <img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&amp;space;\\frac{1}{6}\" alt=\"\\fn_phv \\frac{1}{6}\" align=\"absmiddle\" \/>.<br \/>\n2. Find the probability of the second event.<br \/>\nThere are 3 yellow cubes in the second container. There are a total of 5 cubes in the container. The probability of getting a yellow cube is <img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&amp;space;\\frac{3}{5}\" alt=\"\\fn_phv \\frac{3}{5}\" align=\"absmiddle\" \/>.<br \/>\n3. These are independent events. What occurs in the first container does not affect what occurs in the second container. To find the probability of both events happening, multiply the probability of the first event by the probability of the second event.<br \/>\n<img src=\"https:\/\/latex.codecogs.com\/gif.latex?\\fn_phv&amp;space;\\frac{1}{6}\\times&amp;space;\\frac{3}{5}=\\frac{3}{30}\" alt=\"\\fn_phv \\frac{1}{6}\\times \\frac{3}{5}=\\frac{3}{30}\" align=\"absmiddle\" \/><br \/>\nThis can be reduced to <img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&amp;space;{\\color{Red}&amp;space;\\frac{1}{10}}\" alt=\"\\fn_phv {\\color{Red} \\frac{1}{10}}\" align=\"absmiddle\" \/>[\/vc_column_text][vc_column_text el_class=&#8221;headingnew&#8221;]Practice How to Find Probability of a Compound Event[\/vc_column_text][vc_row_inner el_class=&#8221;boxxborder&#8221;][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 1<\/h5>\n<p><strong><span style=\"color: #16a085;\">What is the probability of rolling a 6 and landing on blue?<\/span><\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/probability-of-compound-event\"><img loading=\"lazy\" class=\"alignnone wp-image-4316 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/12-26.png\" alt=\"How to Find Probability of a Compound Event Example - Practice Problem 1\" width=\"228\" height=\"196\" \/><\/a><\/p>\n[\/vc_column_text][vc_single_image image=&#8221;2159&#8243; img_size=&#8221;full&#8221; alignment=&#8221;right&#8221; onclick=&#8221;custom_link&#8221; link=&#8221;https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/probability-of-compound-event&#8221;][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=&#8221;22px&#8221;][vc_row_inner el_class=&#8221;boxxborder&#8221;][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 2<\/h5>\n<p><strong><span style=\"color: #16a085;\">What is the probability of getting red on the first spinner and yellow on the second spinner?<\/span><\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/probability-of-compound-event\"><img loading=\"lazy\" class=\"alignnone wp-image-4318 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/13-23.png\" alt=\"How to Find Probability of a Compound Event Example - Practice Problem 2\" width=\"278\" height=\"200\" \/><\/a><\/p>\n[\/vc_column_text][vc_single_image image=&#8221;2159&#8243; img_size=&#8221;full&#8221; alignment=&#8221;right&#8221; onclick=&#8221;custom_link&#8221; link=&#8221;https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/probability-of-compound-event&#8221;][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=&#8221;22px&#8221;][vc_row_inner el_class=&#8221;boxxborder&#8221;][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 3<\/h5>\n<p><strong><span style=\"color: #16a085;\">If a boy picks a cube from each container, what is the probability of picking a blue cube from the first container and a yellow cube from the second container?<\/span><\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/probability-of-compound-event\"><img loading=\"lazy\" class=\"alignnone wp-image-4320 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/14-15.png\" alt=\"How to Find Probability of a Compound Event Example - Practice Problem 3\" width=\"292\" height=\"205\" \/><\/a><\/p>\n[\/vc_column_text][vc_single_image image=&#8221;2159&#8243; img_size=&#8221;full&#8221; alignment=&#8221;right&#8221; onclick=&#8221;custom_link&#8221; link=&#8221;https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/probability-of-compound-event&#8221;][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=&#8221;22px&#8221;][vc_row_inner el_class=&#8221;boxxborder&#8221;][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 4<\/h5>\n<p><strong><span style=\"color: #16a085;\">What is the probability of flipping 3 tails in a row?<\/span><\/strong><br \/>\nWrite your answer as a fraction.<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/probability-of-compound-event\"><img loading=\"lazy\" class=\"alignnone wp-image-4322 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/15-4.png\" alt=\"How to Find Probability of a Compound Event Example - Practice Problem 4\" width=\"129\" height=\"121\" \/><\/a><\/p>\n[\/vc_column_text][vc_single_image image=&#8221;2159&#8243; img_size=&#8221;full&#8221; alignment=&#8221;right&#8221; onclick=&#8221;custom_link&#8221; link=&#8221;https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/probability-of-compound-event&#8221;][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=&#8221;22px&#8221;][\/vc_column][vc_column width=&#8221;1\/3&#8243; css=&#8221;.vc_custom_1633369011398{margin-bottom: 50px !important;}&#8221;][vc_row_inner el_class=&#8221;stickynotee&#8221;][vc_column_inner][vc_single_image image=&#8221;2265&#8243; img_size=&#8221;full&#8221; alignment=&#8221;center&#8221; css_animation=&#8221;fadeIn&#8221; css=&#8221;.vc_custom_1633509989314{border-radius: 10px !important;}&#8221; el_class=&#8221;stickypin&#8221;][vc_column_text]<strong>Probability <\/strong>is the likelihood that an event will occur. It is written as a fraction with the number of favorable outcomes as the numerator and the total number of outcomes as the denominator.<\/p>\n<p>A <strong>compound event<\/strong> is one in which there is more than one possible outcome.<\/p>\n<p><strong>Dependent events<\/strong>: The outcome of one event changes the outcome of another event.<\/p>\n<p><strong>Independent events<\/strong>: The outcome of one event does not change the outcome of another event.[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=&#8221;boxxborder2&#8243;]<span style=\"color: #ed5600;\"><strong>Pre-requisite Skills<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/4th-grade\/understanding-probability\"><span style=\"color: #ed5600;\">Understanding Probability<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/find-probability\"><span style=\"color: #ed5600;\">Find Probability<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/probability-and-fractions\"><span style=\"color: #ed5600;\">Probability and Fractions<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/combinations\"><span style=\"color: #ed5600;\">Combinations<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/write-probability-as-percentage-fraction-and-decimals\"><span style=\"color: #ed5600;\">Write Probability as Percentage, Fraction and Decimals<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/probability-of-simple-events\"><span style=\"color: #ed5600;\">Probability of Simple Events<\/span><\/a>[\/vc_column_text][vc_column_text el_class=&#8221;boxxborder2&#8243; css=&#8221;.vc_custom_1635421957602{border-top-width: 7px !important;border-right-width: 7px !important;border-bottom-width: 7px !important;border-left-width: 7px !important;background-position: center !important;background-repeat: no-repeat !important;background-size: contain !important;border-left-color: #333399 !important;border-left-style: solid !important;border-right-color: #333399 !important;border-right-style: solid !important;border-top-color: #333399 !important;border-top-style: solid !important;border-bottom-color: #333399 !important;border-bottom-style: solid !important;border-radius: 35px !important;}&#8221;]<span style=\"color: #333399;\"><strong>Related Skills<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/permutations\"><span style=\"color: #333399;\">Permutations<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/theoretical-and-experimental-probability\"><span style=\"color: #333399;\">Theoretical and Experimental Probability<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/simulations-and-fundamental-counting-principle\"><span style=\"color: #333399;\">Simulations and Fundamental Counting Principle<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/permutations\"><span style=\"color: #333399;\">Permutations<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/independent-and-dependent-events\"><span style=\"color: #333399;\">Independent and Dependent Events<\/span><\/a>[\/vc_column_text][vc_row_inner equal_height=&#8221;yes&#8221; el_class=&#8221;btninlinespacing&#8221;][vc_column_inner][vc_btn title=&#8221;Grade 1&#8243; color=&#8221;warning&#8221; link=&#8221;url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F1st-grade%2Fmaths|title:Grade%201%20Math||&#8221;][vc_btn title=&#8221;Grade 2&#8243; color=&#8221;danger&#8221; link=&#8221;url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F2nd-grade%2Fmaths|title:Grade%202%20Math||&#8221;][vc_btn title=&#8221;Grade 3&#8243; color=&#8221;violet&#8221; link=&#8221;url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F3rd-grade%2Fmaths|title:Grade%203%20Math||&#8221;][vc_btn title=&#8221;Grade 4&#8243; color=&#8221;blue&#8221; link=&#8221;url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F4th-grade%2Fmaths|title:Grade%204%20Math||&#8221;][vc_btn title=&#8221;Grade 5&#8243; color=&#8221;green&#8221; link=&#8221;url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F5th-grade%2Fmaths|title:Grade%205%20Math||&#8221;][vc_btn title=&#8221;Grade 6&#8243; color=&#8221;info&#8221; link=&#8221;url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F6th-grade%2Fmaths|title:Grade%206%20Math||&#8221;][vc_btn title=&#8221;Grade 7&#8243; color=&#8221;vista-blue&#8221; link=&#8221;url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F7th-grade%2Fmaths|title:Grade%207%20Math||&#8221;][vc_btn title=&#8221;Grade 8&#8243; color=&#8221;mulled-wine&#8221; link=&#8221;url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F8th-grade%2Fmaths|title:Grade%208%20Math||&#8221;][\/vc_column_inner][\/vc_row_inner][vc_row_inner equal_height=&#8221;yes&#8221; el_class=&#8221;btninlinespacing&#8221;][vc_column_inner][vc_btn title=&#8221;Fractions&#8221; color=&#8221;primary&#8221; link=&#8221;url:https%3A%2F%2Fen.oryxlearning.com%2Ftopics%2Fmaths%2Ffractions|title:Fractions||&#8221;][vc_btn title=&#8221;Percent&#8221; color=&#8221;warning&#8221; link=&#8221;url:https%3A%2F%2Foryxlearning.com%2Ftopics%2Fmaths%2Fpercent|title:Percent||&#8221;][vc_btn title=&#8221;Probability and statistics&#8221; color=&#8221;danger&#8221; link=&#8221;url:https%3A%2F%2Foryxlearning.com%2Ftopics%2Fmaths%2Fprobability-and-statistics|title:Probability%20and%20statistics||&#8221;][\/vc_column_inner][\/vc_row_inner][\/vc_column][\/vc_row][\/vc_section]\n","protected":false},"excerpt":{"rendered":"<p>[vc_section full_width=&#8221;stretch_row&#8221; content_placement=&#8221;middle&#8221; css=&#8221;.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}&#8221; el_id=&#8221;bg-sec&#8221;][vc_row full_width=&#8221;stretch_row_content&#8221; el_class=&#8221;faaaq&#8221;][vc_column width=&#8221;1\/12&#8243;][\/vc_column][vc_column width=&#8221;1\/2&#8243; css=&#8221;.vc_custom_1633761494145{border-radius: 1px !important;}&#8221;][vc_row_inner content_placement=&#8221;middle&#8221; el_class=&#8221;topheadingg&#8221;][vc_column_inner width=&#8221;1\/6&#8243;][vc_single_image image=&#8221;2283&#8243; img_size=&#8221;full&#8221;][\/vc_column_inner][vc_column_inner width=&#8221;5\/6&#8243;][vc_column_text] How to Find Probability of a Compound Event [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=&#8221;headingnew&#8221;]Concept[\/vc_column_text][vc_column_text]The probability of an event is the measure of the possibility of the occurrence of that event. Compound probability is [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.0 (Yoast SEO v17.6) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>How to Find Probability of a Compound Event | Oryx Learning<\/title>\n<meta name=\"description\" content=\"The probability of an event is the measure of the possibility of the occurrence of that event. Compound probability is applicable when there are more than one independent events happening. 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